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4 years ago

Write an equation of the line below.

Mathematics

1 answer:

Dafna11 [192]4 years ago

3 0

Answer:

$\large\boxed{y=4x+3}$

Step-by-step explanation:

The slope-intercept form of an equation of aline:

$y=mx+b$

m - slope

b - y-intercept

The formula of a slope:

$m=\dfraxc{y_2-y_1}{x_2-x_1}$

From the graph we have the points:

(-2, -5)

y-intercept (0, 3) → b = 3

Calculate the slope:

$m=\dfrac{3-(-5)}{0-(-2)}=\dfrac{8}{2}=4$

Put the value of the slope and the y-intercept to the equation of a line:

$y=4x+3$

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3 years ago

Find the P-value for the indicated hypothesis test with the given standardized test statistic, z. Decide whether to reject H0

Leviafan [203]

Answer: We do not reject the null hypothesis.

Step-by-step explanation:

When the p-value is greater than the significance level , then we do not reject the null hypothesis or if p-value is smaller than the significance level , then we reject the null hypothesis.

Given : Test statistic : $z = -2.28$

Significance level : $\alpha=0.02$

By using the standard normal distribution table ,

The p-value corresponds to the given test statistic ( two tailed ):-

$2P(Z>|z|)=2P(Z>2.28)=0.0226$

Since the p-value is greater than the significance level of 0.02.

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4 years ago

Find the surface area of a right cone with diameter 30 in. and slant height 8 in.Your answerEXTRA CREDIT: Find the surface area

Anon25 [30]

Answer:

Surface area = 1084 in²

Step-by-step explanation:

To find the surface area of a right cone, we can use the following formula:

$\boxed{{Area = \pi r^2 + \pi rl}}$ ,

where:

• r = radius

• l = slant height.

In the question, we are told that the diameter of the cone is 30 in. Therefore its radius is (30 ÷ 2 = ) 15 in. We are also told that its height is 8 in.

Using this information and the formula above, we can calculate the surface area of the cone:

Surface area = $\pi \times (15)^2 + \pi \times 15 \times 8$